Tevez was clocked exceeding the 70km/h limit in the tunnel, which separates Italy from France, although his actual speed was not revealed.
The incident took place Wednesday, the day after Tevez had scored in the 2-1 Champions League semi-final win over Real Madrid in Turin.
The 31-year-old Tevez is no stranger to falling foul of the rules of the road.
In March 2013, when he was at Manchester City, he was arrested for driving without a licence while serving a six-month ban imposed for speeding.
He was eventually fined €1,400 and ordered to perform 250 hours of community service.